75960976 has 120 divisors (see below), whose sum is σ = 191472120. Its totient is φ = 28901376.

The previous prime is 75960971. The next prime is 75960979. The reversal of 75960976 is 67906957.

It can be written as a sum of positive squares in 4 ways, for example, as 20070400 + 55890576 = 4480^2 + 7476^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75960971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295440 + ... + 295696.

It is an arithmetic number, because the mean of its divisors is an integer number (1595601).

Almost surely, 2^75960976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75960976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95736060).

75960976 is an abundant number, since it is smaller than the sum of its proper divisors (115511144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75960976 is a wasteful number, since it uses less digits than its factorization.

75960976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 49.

The square root of 75960976 is about 8715.5594197963. The cubic root of 75960976 is about 423.5098465484.

The spelling of 75960976 in words is "seventy-five million, nine hundred sixty thousand, nine hundred seventy-six".